Can somebody help me please its a quiz?
1 answer:
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Answer:
Refer to attached
Step-by-step explanation:
<u>Given inequality</u>
- 3e^x > -1/2x
<u>We can put this as</u>
- y = 3e^x
- y > -1/2x
We know the given exponential function has positive range y > 0
And the linear inequality covers the space above the line
This is all matching the last graph that is attached
Answer:
1)
<u>Find the union of A and B:</u>
- A∪B = {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20}
<u>Find the complement of above:</u>
- (A∪B)
=
- U\(A∪B) =
- {1,2,3,4,...,18,19,20}\ {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20} =
- {1,8,12,16}
2)
<u>Find the intersection of A∩C:</u>
- A∩C = {5,6,7,14,20}
<u>Find the complement of above:</u>
- (A∩C)
=
- U\(A∩C) =
- {1,2,3,4,...,18,19,20}\ {5,6,7,14,20} =
- {1,2,3,4,8,9,10,11,12,13,15,16,17,18,19}
Answer:
C. 3.4 feet
Step-by-step explanation:
Let, the amount of increase be 'x' feet.
As, the length and width of the garden are 20 ft and 12 ft respectively.
It is given that the area of the new garden is 360 ft²
Since, the length and width are increased by 'x'.
The new length and width are (x+20) ft and (x+12) ft respectively.
So, we get,
New area, = length × breadth = (x+20) × (x+12)
i.e. 360 =
i.e.
i.e. (x+35.4)(x-3.4)=0
i.e. x = -35.4 and x= 3.4
Since, the value of x cannot be negative.
Thus, x = 3.4 feet.